Löfven says he wants to know what portfolio Sweden could get in the commission before proposing any names.
The Liberal party's Cecilia Malmström has been commissioner for home affairs since 2010. Before her, two Social Democrats had had the job.
"The current government has the responsibility to discuss this with the opposition, not least us", Löfven told news agency TT. "I think the discussion should start with deciding which portfolio would be important for a commissioner from Sweden to have."
Meanwhile Left Party leader Jonas Sjöstedt says he would like to see former Green Party spokesperson, Maria Wetterstrand, or one of two former Social Democrat ministers, Leif Pagrotsky or Lena Sommestad, as European Commissioner.